Details

Time bar (total: 4.3s)

analyze883.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%74.8%25.2%5
0%74.8%25.2%6
0%74.8%25.2%7
0%74.8%25.2%8
0%74.8%25.2%9
0%62.3%37.7%10
0%56.1%43.9%11
0%56.1%43.9%12
1.6%54.5%43.9%13
2.4%53.7%43.9%14

sample37.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
2.0ms31×body80invalid
2.0ms37×body80nan

simplify209.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (207.0ms)

IterNodesCost
0371716
1371716

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (+ y (+ z (- (* (- a 0.5) b) (* z (log t))))))
0.0b
(+ y (+ z (- (* (- a 0.5) b) (* z (log t)))))
0.1b
(+ z (- (* (- a 0.5) b) (* z (log t))))
0.2b
(* z (log t))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
32×add-log-exp
24×*-un-lft-identity
16×sum-log
10×add-sqr-sqrt distribute-lft-out
add-cube-cbrt
pow1
add-exp-log associate-+r- log-prod add-cbrt-cube
associate-*r*
+-commutative distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ diff-log associate-*l* flip-+
sub-neg pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
Counts
4 → 76
Calls
4 calls:
11.0ms
(+ x (+ y (+ z (- (* (- a 0.5) b) (* z (log t))))))
9.0ms
(+ y (+ z (- (* (- a 0.5) b) (* z (log t)))))
7.0ms
(+ z (- (* (- a 0.5) b) (* z (log t))))
4.0ms
(* z (log t))

series81.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ x (+ y (+ z (- (* (- a 0.5) b) (* z (log t))))))
23.0ms
(+ y (+ z (- (* (- a 0.5) b) (* z (log t)))))
15.0ms
(+ z (- (* (- a 0.5) b) (* z (log t))))
9.0ms
(* z (log t))

simplify42.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051441193

prune137.0ms

Filtered
61 candidates to 88 candidates (-44.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New81788
Fresh000
Picked101
Done000
Total82789

Merged error: 0.0b

Counts
89 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* 1 (+ z (+ y (- (* (- a 0.5) b) (* z (log t)))))))
0.0b
(+ y (- (* (- a 0.5) b) (* z (log t))))
0.1b
(+ z (+ y (- (* (- a 0.5) b) (* z (log t)))))
0.2b
(* z (log t))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
16×*-un-lft-identity
10×add-sqr-sqrt
add-cube-cbrt sum-log
pow1
add-exp-log log-prod add-cbrt-cube
distribute-lft-out
distribute-rgt-in associate-+r+ distribute-lft-in associate-*r*
+-commutative associate-+r- flip3-+ associate-*l* flip-+
diff-log
sub-neg pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
Counts
4 → 71
Calls
4 calls:
3.0ms
(+ x (* 1 (+ z (+ y (- (* (- a 0.5) b) (* z (log t)))))))
7.0ms
(+ y (- (* (- a 0.5) b) (* z (log t))))
9.0ms
(+ z (+ y (- (* (- a 0.5) b) (* z (log t)))))
5.0ms
(* z (log t))

series86.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ x (* 1 (+ z (+ y (- (* (- a 0.5) b) (* z (log t)))))))
20.0ms
(+ y (- (* (- a 0.5) b) (* z (log t))))
22.0ms
(+ z (+ y (- (* (- a 0.5) b) (* z (log t)))))
9.0ms
(* z (log t))

simplify78.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
048471058
148471058

prune118.0ms

Filtered
58 candidates to 83 candidates (-43.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New82183
Fresh066
Picked011
Done000
Total82890

Merged error: 0.0b

Counts
90 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (log (cbrt t)))
0.3b
(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.5b
(cbrt t)
0.5b
(cbrt t)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
pow1
add-exp-log add-cbrt-cube add-log-exp
associate-*r*
pow1/3 associate-*l*
log-pow
+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* z (log (cbrt t)))
10.0ms
(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series83.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* z (log (cbrt t)))
20.0ms
(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
23.0ms
(cbrt t)
21.0ms
(cbrt t)

simplify77.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04879844
14879844

prune158.0ms

Filtered
86 candidates to 114 candidates (-32.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1113114
Fresh336
Picked011
Done011
Total1148122

Merged error: 0.0b

Counts
122 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.6b
(cbrt (cbrt t))
0.6b
(cbrt (pow (cbrt t) 2))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
unpow-prod-down
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
unpow2 sqr-pow
Counts
4 → 55
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
2.0ms
(cbrt (cbrt t))
3.0ms
(cbrt (pow (cbrt t) 2))

series106.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
21.0ms
(cbrt t)
30.0ms
(cbrt (cbrt t))
33.0ms
(cbrt (pow (cbrt t) 2))

simplify36.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04812346
14812346

prune115.0ms

Filtered
48 candidates to 67 candidates (-39.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New67067
Fresh055
Picked011
Done022
Total67875

Merged error: 0.0b

Counts
75 → 8

regimes886.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05716
15716

end0.0ms

sample955.0ms

Algorithm
intervals
Results
485.0ms7999×body80valid
67.0ms1154×body80invalid
59.0ms1168×body80nan
0.0msbody640valid

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